Find all Solotioms Cin radins) to the eguotion 2 Sin X+V3= o

Q: Verify that cos kx is a rolulion Also, stafe what kind of DE is the DE above :

A: This question is about solving differential equations.

Q: If sinr = In y, show that dyOUTM dr OUTMO (1--- (1– 2) dy = y. dr

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Q: az -? Since it is du coSV.y=. av ) z = In (xry*),x = e"cosv.y= e"sinvr

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Q: If z = In(x – y) + tan(x + y), show that Z = Z, XX

A: We have to show that given expression.

Q: tan z, + tanz, = T-(tan z;) +(tan 72) tan(z, +2) ) Prove that: cos(z + w) = cosz cosw + sinz sin w

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Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

A: We know that in composite trapezoidal rule, we approximate the integral as follows: ∫abf(x) dx ≈  h…

Q: Compute the Jacobian of : O(r, 0) = (9r cos 0, 4r sin 0)

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Q: when Converting the bikary integhal sin o the PotarCoordihates becomes the Shafe r.Sin E ) crde 1.…

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Q: The suitable substitution to evaluate the integral /tan°(2x) dx is cos“(2x) O u= tan(2x) O u=…

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Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: Use

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Q: What is f 2sm z cos e sin x dæ? 2sin z +C In 2. 2sin z +C In 2 2cos z +C O A. O B. In 2 20os z +C D.…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: (1+cot 6) de 5. sin' O14 - cote let, u= du=

A: Solved below

Q: -W : By the same way, prove that g Z sinWo sinw.k Z -27 cus Wo +1

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Q: If h(z) = sin (z) + sin(z°), find h'(z). a. 6s in (z)cos(z) +6z°cos(z°) Ob.6cos (z)sin(z) +…

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Q: Evaluate. de In(sin æ)] sin z cos z eCoS Z coS z COS T sin z esin z

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Q: @ If sn@ , oinqundant IL, finel He acud value for Guadant II, find Hhe accict Cor o = %3D Cas lo-)=…

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Q: التاريخ اليوم موضوع الدرس A) Discuss the conrergence of facx) %3D on A = Co,0)

A: Convergence of the sequence

Q: Find the areas of the regions . 1. Shared by the circles r = 2 cos u and r = 2 sin u 2. Shared by…

A: 1. Area of the region shared by the circles r = 2 cos u and r = 2 sin u Replace the variable u by θ…

Q: Fird the Aren of the Reyion c2-9 cos In teriur of (2€)

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Q: Find the edlution of the following equstions: (osx<r) a) cosx- casx =0 . b) tan2x = 3 tan X Sin8X .…

A: We have to solve the following equations.

Q: ) Let z be a c complese number then cos ( 58+2) is bounded in C2

A: Since, sinz and cosz are unbounded on C. These are unbounded along horizontal axis .

Q: prove the following identy (sect − sin(π/2 − t))(sec(π/2 − t)−sint) = tant − tantsin2 t

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Q: Let - (sin x cos y, COS I sin y, In). Compute div i

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Q: D. Use the Wronskian to detcrminc whether or not the vcctors arc independent or not (the answer for…

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Q: Evaluate using wallis formula: (4-x2)/2 dx and let x = 2sine 0.

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Q: Complete the two-column proof. Given: ZB = ZR, ZBPC = ZRCP Prove: ABPC =ARCP R Statements Reasons I

A: Answer and explanation is given below...

Q: which of the foliowing is a vaiid equ be us ed to Soiue for 2 ak di altan 40=x 60 60 bl Sin 4O= 40…

A: Given : A right triangle

Q: 6. S cos³ y cot y dy

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A, Use the dddition Rormulas to derive the identitie arll sin(x- II) = - CosX

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Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

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Q: Show that if z = cos u + i sin u, then | z | =1

A: We have to show that if z=cos u+i sin u, then z=1. We know for any complex number if z=x+i y then…

Q: Os Find the Taylor seaies af the gien funkon Point as conter and deteamina the with the vadius af…

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Q: If u =x² cos y +ye», where x =s+2t and y= st, prove that ди 2- Əs ди 3 (s— 21) (х' siny — хуе" —…

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Q: Compute the length of the cardioid r = 9 – 9 cos(0).

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Q: Suppose you Know that tand 3/12. Vsing this infe, de tevmine cuhot quadiantdis in dnd Caliulate…

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Q: Evaluate the secondary 5th root of z = 50 (cos150° + j sin150°) and simplify to rectangular form O…

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Q: Show that J, (z cos0)d0 = - R/2 os e)de = 1-cos z %3D 21

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Q: TL 3. sin²4ycos²2ydy T

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Q: Express Q(x) = cos4 (x )+ 12 as the composition of three func-tions; that is, identify f, g, and h…

A: Q(x) = cos4 (x )+ 12 We need to express the given function as a composition of three functions  that…

Q: show that fE Riemann [o,!] and Find f de

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Q: If z = exy where x = In(u + v) and y = sin(u-v), find az and az du

A: We use the partial derivatives and chain rule of differentiation to answer the given question.

Q: Verify that cos kx a solulion of Also, stafe what kind of DE is the DE above

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Q: a. Show that W[5, sin2 t, cos(2t)] = 0 for all t by directly evaluating the Wrosnkian.

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Q: If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that…

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Q: 15. are tag z dr z arc tag z - In /1 + z² + c – In /1 + z² + C %3D

A: By using integration by part

Q: QR I RS and UV 1 TÚ. Construct a proof that ZQRS = ZTUV.

A: First, we sketch the situation roughly  We have to prove: